In this paper a novel method based on complex eigenanalysis in the state variables domain is proposed to uncouple the set of rational order fractional differential equations governing the dynamics of multi-degree-of-freedom system. The traditional complex eigenanalysis is appropriately modified to be applicable to the coupled fractional differential equations. This is done by expanding the dimension of the problem and solving the system in the state variable domain. Examples of applications are given pertaining to multi-degree-of-freedom systems under both deterministic and stochastic loads.
Analysis of multi degree of freedom systems with fractional derivative elements of rational order / Di Paola, M.; Pinnola, F. P.; Spanos, P. D.. - (2014). (Intervento presentato al convegno 2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014 tenutosi a Catania, Italy nel 23-25/6/2014) [10.1109/ICFDA.2014.6967364].
Analysis of multi degree of freedom systems with fractional derivative elements of rational order
Pinnola F. P.;
2014
Abstract
In this paper a novel method based on complex eigenanalysis in the state variables domain is proposed to uncouple the set of rational order fractional differential equations governing the dynamics of multi-degree-of-freedom system. The traditional complex eigenanalysis is appropriately modified to be applicable to the coupled fractional differential equations. This is done by expanding the dimension of the problem and solving the system in the state variable domain. Examples of applications are given pertaining to multi-degree-of-freedom systems under both deterministic and stochastic loads.| File | Dimensione | Formato | |
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